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For the case of non-interacting particles suspended in a (complex) fluid a direct relation between g<sub>2</sub>-1 and the [[mean squared displacement]] of the particles <Δr<sup>2</sup>> can be established. Let's note P(s) the probability density function (PDF) of the photon path length s. The relation can be written as follows:<ref>
{{cite journal
|author=[[Frank Scheffold|F. Scheffold]]
|year=2004
|title=New trends in optical microrheology of complex fluids and gels
|url=http://w3.lcvn.univ-montp2.fr/~lucacip/NewTrendsMicroRheology.pdf
|journal=[[Progress in Colloid and Polymer Science]]
|volume=123
|pages=141–146 |doi=10.1007/b11748
|isbn=978-3-540-00553-7
|display-authors=etal
|deadurl=yes
|archiveurl=https://web.archive.org/web/20110721023401/http://w3.lcvn.univ-montp2.fr/~lucacip/NewTrendsMicroRheology.pdf
|archivedate=2011-07-21
|df=
}}</ref>
<math>g_2(\tau)-1=[\int {ds P(s) \exp(-(s/l*)k_0^2 \langle\Delta r^2(\tau)\rangle) }]^2</math>
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